For the function: f(x) = (xe^{x/1.5} + x + 0.5) / (x - 4) a) Use Matlab to plot the function for values of x in the range -2 ? x ? 2 Important Notes: i. Include a copy of your Matlab code in your solution. ii. Include the plot of the function in your solution. b) Find the root of the above function in the range of values of x provided using the following five (5) methods: i. Bisection Method ii. Linear Interpolation Method iii. Newton’s Method iv. Secant Method v. Fixed Point Iteration Method Important Notes for part (b): i. Show all your calculations in detail. ii. Use a simple calculator to perform your calculations. iii. Perform four (4) iterations for each method. BONUS question (5 Points): Write a MatLab program to find the numerical solution of f(x) using the Newton’s Method. Important Note for BONUS Question: i. Include a copy of your Matlab code in your solution. ii. Upload your .m file on Moodle.
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